What is the pattern in the following numbers? 5 10 19 32 49 70?
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What is the pattern in the following numbers? 5 10 19 32 49 70?
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The next number = 95
5 10 19 32 49 70
If you work out the difference between each consecutive number
10 – 5 = 5
19 – 10 = 9
32 – 19 = 13
49 – 32 = 17
70 – 49 = 21
You will now see that the differences are increasing by 4 each time
5 – 9 – 13 – 17 – 21
Therefore the next difference = 25
Therefore the next number = 70 + 25 = 95
If you require the Rule – It is 2n^2 + (4 – n)

5 10 19 32 49 70

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T(n+1) = T(n) + 2n + 2. n = 0, 1, 2, 3, …

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